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Finding the Fourth Proportional to 14,144.72, 19,523.24 and 8,179.84

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Solution

The fourth proportional to 14,144.72, 19,523.24 and 8,179.84 is: 11,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.72 : 19,523.24 = 8,179.84 : x
  2. Step 2: Convert to fraction form
    14,144.72/19,523.24 = 8,179.84/x
  3. Step 3: Cross multiply
    14,144.72x = 19,523.24 × 8,179.84
  4. Step 4: Simplify right side
    14,144.72x = 159,696,979.48
  5. Step 5: Solve for x
    x = 159,696,979.48/14,144.72
  6. Step 6: Final answer
    x = 11,290.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.